The value of [tex]38 \frac{22}{75} + 3\frac{11}{15}[/tex] is [tex]42\frac{2}{75}[/tex]
How to add the fractions?The summation expression is given as:
[tex]38 \frac{22}{75} + 3\frac{11}{15}[/tex]
Rewrite as:
[tex]38 + 3 + \frac{22}{75} + \frac{11}{15}[/tex]
Evaluate the sum and take LCM
[tex]41 + \frac{22 + 5 * 11}{75}[/tex]
Evaluate the sum
[tex]41 + \frac{77}{75}[/tex]
Express as mixed number
[tex]41 + 1\frac{2}{75}[/tex]
Add
[tex]42\frac{2}{75}[/tex]
Hence, the value of [tex]38 \frac{22}{75} + 3\frac{11}{15}[/tex] is [tex]42\frac{2}{75}[/tex]
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Camacho is buying a monster truck. The price of the truck is x dollars, and he also has to pay a 13%, percent monster truck tax. Which of the following expressions could represent how much Camacho pays in total for the truck?
Thank you for asking this question. Here is your answer:
We will consider the price of the truck to be $x
And the amount of tax in the percentage would be 13%
13/100
= $ 0.13x (this is the actual amount of the tax)
Now we will calculate the total price of the truck =
$x + $ 0.13x
= $ x(1 + 0.13)
If there is any confusion please leave a comment below.
Section B 13. Amanda produces the newsletter for an editorial club. Each newsletter contains pages printed on both sides in colour and in black. The graphic designer informs Amanda that the upcoming issue of the newsletter will have 4 pages printed in colour and 20 pages printed in black. Every 4 pages printed in colour will cost x cents. Every 4 pages printed in black will cost y cents. (i) Find an expression for the cost of printing one copy of the newsletter. (1 (ii) Each newsletter costs 14 cents to print. Give an example of the cost of printing 4 pages in colour and the cost of printing 4 pages in black. [ An educational institution in Shanghai wants to subscribe to this newsletter. In Singapore, each newsletter costs S$2.20. The conversion rate is ¥1 = S$0.198 45. (iii) Without using a calculator, estimate the price of one newsletter in Y. Each sheet of paper has a mass of 4.5 g. (iv) How heavy is one copy of the newsletter?
Answer:
The answer is 3.2
Gabrielle is 10 years older than Mikhail. The sum of their ages is 84. What is Mikhail's age?
Answer:
Hence the age of Mikhail is 37 and the age of Grabrielle is 47
Answer:
Here;
Gabrielle age= 10yrs older that M..= 16 + 10= 26yrs old.
Sum of their age= 84
Now;
100 - 84
16,,
I need help ASAP please
Which statement is true about whether Z and B are independent events?
A: Z and B are independent events because P(Z | B) =P(Z).
B: Z and B are independent events because P(Z | B) = P(B).
C: Z and B are not independent events because P(Z | B) ≠ P(Z).
D: Z and B are not independent events because P(Z | B) ≠ P(B).
A greedy hamster hoarded two piles of sunflower seeds. Yesterday the ratio of seeds in these piles was 3:4, but today the greedy hamster placed another 2 pounds of seeds in the bigger pile. He also ate 1/4 pound from the smaller pile and now the quantities of seeds in those piles is in the ratio of 5:16. What was the weight of each pile yesterday?
The weight of the each pile yesterday would be 6 and 8 pounds.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Given;
Yesterday the ratio of seeds in these piles was 3:4.
Let it be 3x and 4x.
If the 2 pounds of seeds is added in the bigger pile, then it become
4x + 2
He also ate 1/4 pound from the smaller pile, then
3x - 1/4
Now the quantities of seeds in those piles is in the ratio of 5:16.
So, 4x + 2 = 5x
3x - 1/4 = 16x
Solve;
So, 4x + 2 = 5x
2 = 5x - 4x
x = 2
The weight of the each pie would be
3x = 6 pound
4x = 8 pound
Hence, The weight of the each pile yesterday would be 6 and 8 pounds.
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Simplify
24x²y
6x
for all x = 0.
Step-by-step explanation:
[tex] = \frac{24 {x}^{2} y}{6x} [/tex]
[tex] = \frac{24}{6} . \frac{ {x}^{2}y }{x} [/tex]
[tex] = 4.xy[/tex]
[tex] = 4xy[/tex]
[tex] \: [/tex]
• Substitute the value of x.
[tex] = 4xy[/tex]
[tex] = 4 \times 0y[/tex]
[tex] = 0[/tex]
What is the surface area of a square prism with sides that measure 8 units?
O254 units²
O 300 units²
0314 units²
0384 units²
Answer:
384 units²
Step-by-step explanation:
The area of one face is (8)(8)=64.
Multiplying this by the six faces, we get 64(6)=384
Help me with this question please and thank you!!! :):)
Answer:
A intersection B = ( elements which are common in both)
= ( 2,4,7,19)
A union B = ( all the elements which are either in A or in B).
= ( 2, 4, 7 , 13, 14, 19, 20 , 3, 5, 6, 10,11, 12 , 15,17 , 18 , 19 )
Find slope:
(3,7) & (6,-1)
Answer:
-8/3
Step-by-step explanation:
Slope = (-1-7)/(6-3) = -8/3
Answer:
-8/3
Step-by-step explanation:
You can use the slope formula which is (y2 - y1) / (x2 - x1). So using these values we get
(-1 - 7) / (6 - 3) = -8/3
Given A(-2, 5) and B(13, -7), find the midpoint of AB.
Select one:
a. (-2, 11)
b. (5.5, -1)
c. (11, -2)
d. (-1, 5.5)
[tex]\left(\frac{-2+13}{2}, \frac{5-7}{2} \right)=\boxed{\left(5.5, -1)}[/tex]
Choose the expression that represents a cubic expression
2x + 11
The correct answer is Option c which is the cubic expression is 4x³ − 3x² − 2x + 11
The correct question is as given below:-
Need help ASAP. Choose the expression that represents a cubic expression.
a. 2x + 11
b . −3x² − 2x + 11
c . 4x³ − 3x² − 2x + 11
d . 5x⁴ + 4x³ − 3x² − 2x + 11
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
The polynomial having a degree of three is called the cubic polynomial which means that the maximum power of the polynomial will be three and the solutions will also be three.
Here in the option, we can see that the maximum power of the polynomial is three and it will have a maximum of three solutions.
The third-degree expression will be:-
E = 4x³ − 3x² − 2x + 11
Therefore the correct answer is Option c which is the cubic expression is 4x³ − 3x² − 2x + 11
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1) (b + a) = 4; use a = 1 and b = 3
2) c(b + b); use b = 1 and c = 5
3) 4+ pm; use m = 4 and p =3
4) 5+ pm; use m = 4 and p = 2
5) m(p + 2); use m = 5 and p = 2
6) h+j²; use h = 1 and j = 4
7) y-(x - 5); use x = 5 and y = 6
8) 4xy; use x = 5 and y = 2
9) n(p + 3); use n = 2 and p = 2
10) y +x+x; use x = 3 and y = 5
11) 6+ a-b; use a = 4 and b = 4
Step-by-step explanation:
1). (3+1)=4
2).5(1+11)
5(2)=103).4+3(4)
4+12=16.4).5+2(4)
5+8=135).5(2+2)
5(4)=206).1+4^2
1+16=177).6-(5-5)
6-0=68).4×5×2=40
9).2(2+3)
2(5)=1010).5+3+3=11
11)6+(4-4)
6+0=6.I hope this helps. Pls mark as brainliest like and follow me
15. Desde la punta de un edificio el hombre araña lanza una tela a 500 metros, de la base del edificio
con un ángulo de depresión de 60°, ¿Qué altura (h) tiene el edificio?
ayudaaaa
Step-by-step explanation:
the correct answer will be 93
A function, h(x), is defined as shown.
h(x) = StartLayout Enlarged left-brace 1st row 1st column one-fourth x minus 4, 2nd column x less-than-or-equal-to 0 2nd row 1st column one-third x minus 3, 2nd column 0 less-than x less-than-or-equal-to 3, 3rd row 1st column one-half x minus 2, 2nd column x greater-than-or-equal-to 4
Which graph represents h(x)?
On a coordinate plane, a piecewise function has 3 lines. The first line starts at (negative 4, 0) and goes up to a closed circle at (0, 1). The second line starts at (0, negative 3) and goes up to a closed circle at (3, negative 2). The third line has a closed circle at (4, negative 2) and goes up to (6, negative 1).
On a coordinate plane, a piecewise function has 3 lines. The first line starts at (negative 4, negative 5) and goes up to a closed circle at (0, negative 4). The second line starts at (0, negative 3) and goes up to a closed circle at (3, negative 2). The third line has a closed circle at (4, 0) and goes up to (6, 1).
On a coordinate plane, a piecewise function has 3 lines. The first line starts at (negative 4, 3) and goes up to a closed circle at (0, 4). The second line starts at (0, 3) and goes up to a closed circle at (3, 4). The third line has a closed circle at (4, 4) and goes up to (6, 5).
On a coordinate plane, a piecewise function has 3 lines. The first line starts at (negative 4, 0) and goes up to a closed circle at (0, 1). The second line starts at (0, negative 1) and goes up to a closed circle at (3, 0). The third line has a closed circle at (4, negative 2) and goes up to (6, negative 1).
The graph that represents h(x) is option B: On a coordinate plane, a piecewise function has 3 lines. The first line starts at (negative 4, negative 5) and goes up to a closed circle at (0, negative 4). ....
What is the graph about?Using the piecewise function, one can see that;
In x ≤ 0, the slope of the graph of h(x) = 1/4
In 0 < x ≤ 3, the slope of the graph of h(x) = 1/3
In x ≥ 4, the slope of the graph of h(x) = 1/2
Note that the movement is left to right and the slope of h(x) often increases and the slope of the graph is said to become steeper.
Option B shows the graph of h(x) as it best tells the exact point of various aspect of the function.
Therefore, The graph that represents h(x) is option B: On a coordinate plane, a piecewise function has 3 lines. The first line starts at (negative 4, negative 5) and goes up to a closed circle at (0, negative 4). The second line starts at (0, negative 3) and goes up to a closed circle at (3, negative 2). The third line has a closed circle at (4, 0) and goes up to (6, 1).
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if 300 equals 9 and 500 equals 16 what is the pattern? and what will 7 and 18 equal?
Step-by-step explanation:
hope you can understand
Steve bought a new car for $22,000 but paid 93% of the list price. How much was the list price
Answer:
approximately $23,655.91 (rounded to the nearest hundredths place)
Step-by-step explanation:
[tex]22,000=0.93x\\x=23,655.91[/tex]
Answer:
Step-by-step explanation:
let the list price=x
93% of x=22,000
x=22,000 ×100/93
≈23,655.91 $
A. 10%
B.15%
C.28%
D.25%
Answer: 10%
Step-by-step explanation:
She had a total of $16,800. Subtracting the $5700 standard deduction and the $3650 exemption, we get:
[tex]16800-5700-3650=7450[/tex]
Which falls within the 10% tax bracket.
What is the value of x in the equation 1/5 x-2/3y = 30, when y = 15?
Answer:
The value of x is 200 in the equation 1/5x - 2/3y = 30, when y = 15
Step-by-step explanation:
Given
equation: x - 2/3y = 30
when y = 15
Plug in y:
1/5x - 2/3(15) = 30
1/5x - 10 = 30
add 10 to both sides,
1/5x - 10 + 10 = 30 + 10
1/5x = 40
multiply both sides by 5
1/5x * 5= 40 * 5
x = 200
Answer:
x = 200
Step-by-step explanation:
[tex]\frac{1x}{5} -\frac{2y}{3} =30[/tex]
Given that, y = 15.
So, to find the value of x you have to replace y with 15 and make the x the subject.
Let us do that now.
[tex]\frac{1x}{5} -\frac{2*15}{3} =30\\[/tex]
[tex]\frac{1x}{5} -\frac{30}{3} =30\\[/tex]
[tex]\frac{1x}{5} =30+ \frac{30}{3}\\[/tex]
[tex]\frac{1x}{5} =\frac{30}{1} + \frac{30}{3}\\[/tex]
[tex]\frac{1x}{5} =\frac{30*3}{1*3} + \frac{30}{3}\\[/tex]
[tex]\frac{1x}{5} =\frac{90}{3} + \frac{30}{3}\\[/tex]
[tex]\frac{1x}{5} =\frac{120}{3}[/tex]
Use cross multiplication.
[tex]1x*3=120*5\\3x=600[/tex]
Divide both sides by 3.
x = 200
find the volume of the rectangular prism WILL MARK BRAINLEST
Step-by-step explanation:
volume= l×w×h
1.1/3×1/2×2/3
=1/9
2. 3/4×1/8×13/16
=39/512
3. 1/12×7/8×1/4
=7/384
4. 3/2×1/7×7/8
=3/16
5. 1/5×9/10×2/3
=3/25
6.6/7×7/8×1/2
=3/8
Raphael and Martina are engaged and are planning to travel to Las Vegas during the 2020 Christmas season and get married around the end of the year. In 2020, Raphael expects to earn $45,400 and Martina expects to earn $15,800. Their employers have deducted the appropriate amount of withholding from their paychecks throughout the year. Neither Raphael nor Martina has any itemized deductions. They are trying to decide whether they should get married on December 31, 2020, or on January 1, 2021. What do you recommend? Use the appropriate Tax Tables.
After taking into consideration the advantages in tax management, it will not be beneficial for Raphael and Martina to get married and avail tax benefits.
What are tax benefits?The individual taxable incomes of Raphael and Martina after availing the standard deductions will be $33,000 and $3,400 respectively. Now the computation of taxation liabilities will be computed as,
For Raphael, 10% of $33,000= $3,300;
For Martina, 10% of $3,400 = $340.
However, the joint income will be $61,200 and taxation liabilities of Raphael and Martina will be,
[tex]\rm Taxable\ Income = Total\ Income - Standard\ Deduction\\\\\rm Taxable\ Income =61200-24800\\\\\rm Taxable\ Income =\$36400[/tex]
Solving further,
[tex]\rm Joint\ Taxation = (\frac{10}{100}\ x\ 19750) + (\frac{12}{100}\ x\ 16650)\\\\\rm Joint\ Taxation = 1975+1998\\\\\rm Joint\ Taxation = \$3973[/tex]
Now, it can be compared that the joint taxation is higher than the summation of individual taxation of Raphael and Martina, and thus, tax benefits are not enough for Raphael and Martina to get married.
Hence, the tax benefits of Raphael and Martina after getting married are given as above.
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-
Find the area of a rectangle with a length of 15 inches and a width of 9 inches. The area of the rectangle is
inches. Enter only the number.
The solution is
square
135inches2
Step-by-step explanation:
by multiplying both length and width you can get the sum
In basketball, hang time is the time that both of your feet are off the ground during a jump. The equation for hang time is t = 2 (StartFraction 2 h Over 32 EndFraction) Superscript one-half , where t is the time in seconds, and h is the height of the jump, in feet.
Player 1 had a hang time of 0.9 s. Player 2 had a hang time of 0.8 s. To the nearest inch, how much higher did Player 1 jump than Player 2?
Considering the hang time equation, it is found that Player 1 jumped 0.68 feet higher than Player 2.
What is the hang time equation?The hang-time of the ball for a player of jump h is given by:
[tex]t = 2\left(\frac{2h}{32}\right)^{\frac{1}{2}}[/tex]
The expression can be simplified as:
[tex]t = 2\sqrt{\frac{h}{16}}[/tex]
For a player that has a hang time of 0.9s, the jump is found as follows:
[tex]0.9 = 2\sqrt{\frac{h}{16}}[/tex]
[tex]\sqrt{\frac{h}{16}} = \frac{0.9}{2}[/tex]
[tex](\sqrt{\frac{h}{16}})^2 = \left(\frac{0.9}{2}\right)^2[/tex]
[tex]h = 16\left(\frac{0.9}{2}\right)^2[/tex]
h = 3.24 feet.
For a player that has a hang time of 0.8s, the jump is found as follows:
[tex]0.8 = 2\sqrt{\frac{h}{16}}[/tex]
[tex]\sqrt{\frac{h}{16}} = \frac{0.8}{2}[/tex]
[tex](\sqrt{\frac{h}{16}})^2 = \left(\frac{0.8}{2}\right)^2[/tex]
[tex]h = 16\left(\frac{0.8}{2}\right)^2[/tex]
h = 2.56 feet.
The difference is given by:
3.24 - 2.56 = 0.68 feet.
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(1)
Mrs Tan had $3756 to spend on furniture. She bought a sofa set for $1195 and 6 chairs at $128 each.
(a) How much did she spend altogether?
(b) How much money did she have left?
(Marshall Cavendish/ Pupil's book My Pals Are Here! Maths 4A 3rd Edition)
Charlotte practices the piano for 4 hours each week. How many minutes does she practice each week?
Answer:
4 X 60 = 240 minutes
Step-by-step explanation:
there are 60 minutes in each hour
Prove triangle ABC is congruent to triangle DEC.
Triangle ABC and DEC are said to congruent since all their sides and angles are equal.
How to prove the statementThe angle for triangle ABC lies in angle B
The angle for triangle DEC lies in angle E
From the diagram, angles B and E are alternate angles and alternate angles are equal.
A corresponds to D
B corresponds to E
The measure of their angles are also equal
Note, congruent triangles are triangles with three corresponding sides and angles
Therefore, triangle ABC and DEC are said to congruent since all their sides and angles are equal.
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Write an explicit rule to represent the sequence:
20, 24, 28, 32, 36,...
a) f(n)=4n+20
b) f(n)=4n+16
c) f(n)=4n+24
d) f(n)=4n+12
Answer:
b)f(n)=4n+16
Step-by-step explanation:
if n=1
substitute 1 for n in the equation
f(1)=4(1)+16
=4+16
=20
f(2)=4(2)+16
=8+16
=24
And so on
Find a solution to dA/dt=-6A if A(0)=6. A(t)=
This equation is separable,
[tex]\dfrac{dA}{dt} = -6A \implies \dfrac{dA}A = -6\,dt[/tex]
Integrate both sides and solve for [tex]A[/tex] :
[tex]\displaystyle \int \frac{dA}A = -6 \int dt[/tex]
[tex]\ln|A| = -6t + C[/tex]
[tex]e^{\ln|A|} + e^{-6t+C}[/tex]
[tex]\implies A(t) = Ce^{-6t}[/tex]
Solve for [tex]C[/tex] using the initial value.
[tex]A(0) = 6 \implies 6 = Ce^0 \implies C=6[/tex]
Then the particular solution is
[tex]\boxed{A(t) = 6e^{-6t}}[/tex]
Write 72 as a product of primes.
Use index notation when giving your answer.
Multiplication is the process of multiplying. The number 72 in terms of the product of primes is described as 2³ × 3².
What is multiplication?Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.
The number 72 in terms of the product of primes can be written as,
72 = 2×2×2×3×3×1 = 2³ × 3²
Hence, the number 72 in terms of the product of primes is described as 2³ × 3².
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Max is going to order a breakfast platter at The Breakfast Club. He can choose one style of eggs, one type of meat, and one kind of toast. The following table shows the options available to him.
Breakfast platter
Egg options Fried, Scrambled, Poached, Hard boiled
Meat options Bacon, Sausage, Ham, Steak
Toast options White, Wheat, Rye
How many different breakfast platters could Max create?
the answer is 48
Step-by-step explanation:
since there are 4 egg options 4 meat options and 3 bread options. so u multiply this.
4×3×4=48
The ages of Sonu and Monu are in the ratio 5:7.If Sonu were 9 years older and Monu 9 years younger, the age of Sonu would have been twice the age of Monu .Find their p present age 2 ) The ages of Sonu and Monu are in the ratio 5 : 7.If Sonu were 9 years older and Monu 9 years younger , the age of Sonu would have been twice the age of Monu .Find their present age.
Answer:
Sonu is 15years and Monu is 21 years
